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Finding the Fourth Proportional to 285,342.80, 428,014.20 and 202,398.80

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Solution

The fourth proportional to 285,342.80, 428,014.20 and 202,398.80 is: 303,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,342.80 : 428,014.20 = 202,398.80 : x
  2. Step 2: Convert to fraction form
    285,342.80/428,014.20 = 202,398.80/x
  3. Step 3: Cross multiply
    285,342.80x = 428,014.20 × 202,398.80
  4. Step 4: Simplify right side
    285,342.80x = 86,629,560,462.96
  5. Step 5: Solve for x
    x = 86,629,560,462.96/285,342.80
  6. Step 6: Final answer
    x = 303,598.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.